SOLUTION: Divide 1290 into A,B and C such that A is 2/5 of B and B:C = 4:3. Unable to solve please help.

Question 1086281: Divide 1290 into A,B and C such that A is 2/5 of B and B:C = 4:3.
Unable to solve please help.
Found 2 solutions by Boreal, jorel1380:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a is 2/5 th of B
so a=2:b=5
where b=4, c=3
so where b=5, c=3.75 (set it up as a proportion and cross-multiply)
2:5:3.75
multiply these by 4 to make them integers
8:20:15; note that A:B is 2:5 and B:C as 4:3
add these 3 (43)
divide 1290/43=30
that ratio, multiplied by 30, will be the answer
240:600:450
They add to 1290.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
A+B+C=1290
A=2B/5
B/C=4/3,
C=3B/4
2B/5+B+3B/4=1290
8B+20B+15B=25800
B=600
A=240
C=450
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